Difference between revisions of "Topological space"
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# The intersection of any finite collection of elements in T is in T. | # The intersection of any finite collection of elements in T is in T. | ||
Elements in T are called [[Open Sets]]. | Elements in T are called [[Open Sets]]. | ||
| − | [[ | + | [[category: Topology]] |
Revision as of 16:55, April 1, 2007
A Topological space is a pair (X, T), where X is a set, and T is a collection of subsets of X that satisfy the following 3 axioms:
- The empty set and X are elements of T.
- The union of any collection of elements in T is in T.
- The intersection of any finite collection of elements in T is in T.
Elements in T are called Open Sets.